26.4k views
3 votes
Solve 3(x+2)=5x+3-2x=3 . Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice

1. x = _______
2. The equation has infinitely many solutions.
3.The equation has no solution.

1 Answer

0 votes

Final answer:

Upon simplifying the given equation, we reach a contradiction (6 = 3), which indicates that there are no solutions to the equation. The correct choice is therefore that the equation has no solution.

Step-by-step explanation:

We have the equation 3(x + 2) = 5x + 3 - 2x. Let's solve it step by step.

  1. Firstly, distribute the 3 on the left side: 3x + 6 = 5x + 3 - 2x.
  2. Now, combine like terms on the right: 3x + 6 = 3x + 3.
  3. Subtract 3x from both sides of the equation: 6 = 3.

We have reached a false statement, which means that the equation has no solution. There's no value for x that would satisfy the original equation. Therefore, the correct choice is option 3.

User LittleTreeX
by
9.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.